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Finding the Fourth Proportional to 531,287,489.40, 733,411,864.30 and 343,207,509.12

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Solution

The fourth proportional to 531,287,489.40, 733,411,864.30 and 343,207,509.12 is: 473,778,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,287,489.40 : 733,411,864.30 = 343,207,509.12 : x
  2. Step 2: Convert to fraction form
    531,287,489.40/733,411,864.30 = 343,207,509.12/x
  3. Step 3: Cross multiply
    531,287,489.40x = 733,411,864.30 × 343,207,509.12
  4. Step 4: Simplify right side
    531,287,489.40x = 251,712,459,105,458,432
  5. Step 5: Solve for x
    x = 251,712,459,105,458,432/531,287,489.40
  6. Step 6: Final answer
    x = 473,778,254.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.